非线性柱形涂层复合介质有效的直流-交流电响应

李倩倩; 陈小刚; 包曙红; 郭军明; 翟丽丽

doi:10.7498/aps.62.057201

摘要

利用摄动展开方法, 研究了由圆柱形带涂层杂质随机嵌入基质所形成的非线性复合介质在外加的带有不同频率和振幅的混合电场E0 + E1 sinωt+E3 sin3ωt作用下有效的直流-交流电响应, 分别推导了复合介质在杂质核、涂层及基质区域的电势分布, 并在低杂质浓度下给出了复合介质有效的非线性响应及它们之间的关系.

关键词:

By using the perturbation method, an effective nonlinear direct current (DC) and alternating current (AC) response of nonlinear composites with cylindrical coated inclusions randomly embedded in a host medium is studied under the action of an external electric field Ea=E0 + E1 sinωt+E3 sin3ωt with different amplitudes and frequencies. The local potentials of composite at all harmonics are given in the inclusion core, the coated layer and the host regions. All effective nonlinear responses of composites and the relationship between the effective nonlinear responses at all harmonics are also deduced for the cylindrical coated inclusions in a dilute limit.

Keywords:

nonlinear cylindrical coated composite /
effective nonlinear response /
the external AC and DC electric field

作者及机构信息

1.
内蒙古工业大学理学院, 呼和浩特 010051

基金项目: 内蒙古自然科学基金 (批准号: 2011MS0113)和内蒙古人才基金(2010)资助的课题.

Authors and contacts

1.
College of Science, Inner Mongolia University of Technology, Hohhot 010051, China

Funds: Project supported by the Natural Science Foundation of Inner Mongolia, China (Grant No. 2011MS0113), and the Talent Foundation of Inner Mongolia (2010).

参考文献

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[8]	Gu G Q, Yu K W 1992 Phys. Rev. B 46 4502
[9]	Yuen K P, Law M F, Yu K W 1997 Phys. Rev. E 56 1322
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[22]	Wei E B, Tian J W, Song J B 2004 Chin. Phys. 13 388
[23]	Chen X G, Wei E B, Song J B 2004 Commun. Theor. Phys. 41 771
[24]	Wei E B, Yang Z D, Gu G Q 2004 J. Phys. D: Appl. Phys. 37 107
[25]	Liu Y, Liang F C, Shen H L 2005 Commun.Theor. Phys. 44 731
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[27]	Wei E B, Song J B, Tian J W, Gu G Q. 2003 Phys. Lett. A 309 160
[28]	Natenapit M, Thongboonrithi C, Potisook C 2008 Phys. B 403 4314
[29]	Li Z, Wei E B, Zhang H D, Tian J W 2005 Chin. Phys. Lett. 22(9) 2360
[30]	Ding X, Jia Y X, Wang X 2008 Phys. Lett. A 372 4247
[31]	Shen Y Y, Chen X G, Li Q Q 2009 Commun. Theor. Phys. 51 743
[32]	Shen Y Y, Chen X G, Cui W 2009 Chin. Phys. B 18 757
[33]	Hao Yan-Hua, Chen X G, Hou R 2010 Chin. Phys. B 19 067202
[34]	Potisook C, Natenapit M 2012 Phys. B 407 598
[35]	Ding X, Jia Y X, Wei E B 2012 Chin. Phys. B 21 057202

施引文献

[1]	Yin Z W 2003 Dielectric Physics, 2nd Version (Beijing: Science Press) 1-27 (in Chinese) [殷之文 2003 电介质物理学第二版 (北京: 科学出版社) 第1–27页]
[2]	Xie B C, Gao L 2000 Acta Phys. Sin. 49 365 (in Chinese) [谢秉川, 高雷 2000 物理学报 49 365]
[3]	Gao L, Hong G 2003 Acta Phys. Sin. 52 575 (in Chinese) [高雷, 洪刚 2003 物理学报 52 575]
[4]	Bergman D J 1978 Phys. Rep. 43 337
[5]	Li X T, Ma H R 1999 Acta Phys. Sin. 48 461 (in Chinese) [李向亭, 马红孺 1999 物理学报 48 461]
[6]	Gao L 2001 J Phys.: Condense Matter. 13 7271
[7]	Gu G Q, Yu K W 1991 Acta Phys. Sin. 40 709 (in Chinese) [顾国庆, 余建华 1991 物理学报 40 709]
[8]	Gu G Q, Yu K W 1992 Phys. Rev. B 46 4502
[9]	Yuen K P, Law M F, Yu K W 1997 Phys. Rev. E 56 1322
[10]	Wu Y M, Chen G Q 2006 Acta Phys. Sin. 55 5242 (in Chinese) [吴亚敏, 陈国庆 2006 物理学报 55 5242]
[11]	Yu K W, Wang Y C, Hui P M 1993 Phys. Rev. B 47 1782
[12]	Yu K W, Gu G Q 1995 Phys. Lett. A 205 295
[13]	Levy O, Bergman D J, Stroud D G 1995 Phys. Rev. E 52 3184
[14]	Hui P M, Cheung P, Stroud D 1998 J. Appl. Phys. 84 3451
[15]	Hui P M, Cheung P 2000 Phys. B 279 45
[16]	Gu G Q, Hui P M, Yu K W 2000 Phys. B 279 62
[17]	Wei E B, Gu G Q 2001 Commun. Theor. Phys. 35: 501
[18]	Wei E B, Gu G Q 2001 Chin. Phys. Lett. 18 960
[19]	Wei E B, Song J B, Gu G Q 2002 Phys. B 324 322
[20]	Chen X G, Liang F C, Wei E B 2005 Chin. Phys. 14 1217
[21]	Wei E B, Tian J W, Song J B 2003 J. Phys. Condens Matter. 15 8907
[22]	Wei E B, Tian J W, Song J B 2004 Chin. Phys. 13 388
[23]	Chen X G, Wei E B, Song J B 2004 Commun. Theor. Phys. 41 771
[24]	Wei E B, Yang Z D, Gu G Q 2004 J. Phys. D: Appl. Phys. 37 107
[25]	Liu Y, Liang F C, Shen H L 2005 Commun.Theor. Phys. 44 731
[26]	Wei E B, Song J B, Gu G Q 2004 J. Appl. Phys. 95 1377
[27]	Wei E B, Song J B, Tian J W, Gu G Q. 2003 Phys. Lett. A 309 160
[28]	Natenapit M, Thongboonrithi C, Potisook C 2008 Phys. B 403 4314
[29]	Li Z, Wei E B, Zhang H D, Tian J W 2005 Chin. Phys. Lett. 22(9) 2360
[30]	Ding X, Jia Y X, Wang X 2008 Phys. Lett. A 372 4247
[31]	Shen Y Y, Chen X G, Li Q Q 2009 Commun. Theor. Phys. 51 743
[32]	Shen Y Y, Chen X G, Cui W 2009 Chin. Phys. B 18 757
[33]	Hao Yan-Hua, Chen X G, Hou R 2010 Chin. Phys. B 19 067202
[34]	Potisook C, Natenapit M 2012 Phys. B 407 598
[35]	Ding X, Jia Y X, Wei E B 2012 Chin. Phys. B 21 057202

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